High field approximations of the spherical harmonics expansion model for semiconductors

DOI10.1007/PL00001544zbMath1174.82345MaRDI QIDQ5935401

Peter Alexander Markowich, Pierre Degond, Christian Schmeiser, Naoufel Ben Abdallah

Publication date: 2001

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

Chapman-Enskog expansionhigh field asymptoticssemiconductorsspherical-harmonics expansion model

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Motion of charged particles (78A35) Applications of hypergeometric functions (33C90)

Related Items (11)

THE HIGH FIELD ASYMPTOTICS FOR DEGENERATE SEMICONDUCTORS ⋮ Diffusive Limits for a Quantum Transport Model with a Strong Field ⋮ ANALYSIS OF A SPHERICAL HARMONICS EXPANSION MODEL OF PLASMA PHYSICS ⋮ Homogenization of a spherical harmonics expansion model ⋮ THE HIGH FIELD ASYMPTOTICS FOR A FERMIONIC BOLTZMANN EQUATION: ENTROPY SOLUTIONS AND KINETIC SHOCK PROFILES ⋮ High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system ⋮ Multidimensional high-field limit of the electrostatic Vlasov-Poisson-Fokker-Planck system ⋮ Hydrodynamic limit for an arc discharge at atmospheric pressure ⋮ Diffusive corrections to asymptotics of a strong-field quantum transport equation ⋮ LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS ⋮ LOW AND HIGH FIELD SCALING LIMITS FOR THE VLASOV– AND WIGNER–POISSON–FOKKER–PLANCK SYSTEMS

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